Power Set Calculator

Your details

Enter the elements of your set separated by commas. Duplicate elements are counted once.
Display every subset grouped by size. Only available for sets of up to 12 elements.
Number of subsets
8

Total subsets in the power set, including the empty set and the full set

Set cardinality (n)3
Proper subsets7
Empty set included1
All subsets0-element (empty set): {} 1-element subset: {a}, {b}, {c} 2-element subsets: {a, b}, {a, c}, {b, c} 3-element subsets: {a, b, c}
Elements in set3
Total subsets8
Proper subsets7

Power set of a 3-element set has 8 subsets.

  • Your set has 3 elements, so its power set contains 2^3 = 8 subsets.
  • Of those, 7 are proper subsets (everything except the full set itself).
  • The empty set is always included, so even when n = 0 the power set has exactly 1 member.

Next stepTry adding more elements to see how quickly the subset count doubles with each addition.

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